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Intersection of a plane and cylinder

  1. Feb 18, 2006 #1
    Question: Find a parametric representation for the curve resulting from the intersection of the plane 3x + y + z = 1 and the cylinder x^2 + 2y^2 = 1.

    What I did:

    x = cost
    y = sint/sqrt(2)
    z = -3cost - (sint/sqrt(2)) + 1

    I think I'm doing this correctly but the answer seems too easy for this type of assignment. Hoping someone could look it over and tell me if I'm missing something. Thanks.

  2. jcsd
  3. Feb 18, 2006 #2
    It looks alright to me.
  4. Feb 18, 2006 #3
    Thanks d_leet.
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